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Surname Verenice (Verenice ) , around the world, is quite a common last name. The cognomen Verenice is habitual in Latin America and the Caribbean, particularly Mexico, where it is quite a rare surname, Honduras, where it is a rare surname, and Nicaragua. Measured by absolute frequency, the name is most common in Latin America and the Caribbean, particularly Mexico, Venezuela, and Honduras. Also, Verenice is the forename as well as the last name.